Quiz — Lycée Pilote Ariana - Similitudes 2.pdf

Question 1 sur 10 20:00

[{"id":22579,"question":"Quelle transformation n'est PAS une isométrie ?","option_a":"Translation","option_b":"Rotation","option_c":"Homothétie de rapport 2","option_d":"Symétrie axiale","option_e":"","option_f":"","bonne_reponse":"c","explication":"Une homothétie de rapport différent de 1 ou -1 modifie les distances, donc ce n'est pas une isométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"Translation\", \"b\": \"Rotation\", \"c\": \"Homothétie de rapport 2\", \"","_debug_options_count":4},{"id":22580,"question":"Une similitude conserve les angles entre les droites.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Les similitudes conservent les angles entre les droites, c'est une de leurs propriétés fondamentales.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":22581,"question":"Quel est le rapport de similitude entre deux triangles semblables dont les côtés homologues mesurent 3 cm et 6 cm ?","option_a":"1\/2","option_b":"2","option_c":"3","option_d":"6","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le rapport de similitude est le rapport des longueurs homologues : 3\/6 = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"1\/2\", \"b\": \"2\", \"c\": \"3\", \"d\": \"6\"}}","_debug_options_count":4},{"id":22582,"question":"Une homothétie de rapport -1 est équivalente à une symétrie centrale.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une homothétie de rapport -1 est bien une symétrie centrale par rapport au centre de l'homothétie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":22583,"question":"Quelle propriété N'EST PAS conservée par une similitude ?","option_a":"Les angles","option_b":"Les rapports de distances","option_c":"Les longueurs","option_d":"L'orientation (pour les similitudes directes)","option_e":"","option_f":"","bonne_reponse":"c","explication":"Les similitudes conservent les rapports de distances et les angles, mais pas nécessairement les longueurs (sauf pour les isométries).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"Les angles\", \"b\": \"Les rapports de distances\", \"c\": \"Les longueur","_debug_options_count":4},{"id":22584,"question":"Le centre d'une homothétie est toujours situé à l'intersection des droites joignant les points homologues.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le centre d'une homothétie est bien le point d'intersection des droites joignant les points homologues.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":22585,"question":"Si deux triangles sont semblables avec un rapport de 3, alors l'aire du premier triangle est combien de fois celle du second ?","option_a":"3 fois","option_b":"6 fois","option_c":"9 fois","option_d":"12 fois","option_e":"","option_f":"","bonne_reponse":"c","explication":"L'aire est multipliée par le carré du rapport de similitude : 3² = 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"3 fois\", \"b\": \"6 fois\", \"c\": \"9 fois\", \"d\": \"12 fois\"}}","_debug_options_count":4},{"id":22586,"question":"Une similitude indirecte inverse l'orientation des figures.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Les similitudes indirectes (comme les symétries axiales) inversent effectivement l'orientation des figures.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":22587,"question":"Quel est le rapport de similitude d'une homothétie qui transforme un segment de longueur 5 cm en un segment de longueur 15 cm ?","option_a":"1\/3","option_b":"3","option_c":"5","option_d":"15","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le rapport de similitude est le rapport des longueurs : 15\/5 = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"1\/3\", \"b\": \"3\", \"c\": \"5\", \"d\": \"15\"}}","_debug_options_count":4},{"id":22588,"question":"Toute similitude peut s'écrire comme la composition d'une isométrie et d'une homothétie.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est un théorème fondamental : toute similitude est la composition d'une isométrie et d'une homothétie (de rapport positif).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]